一类拟周期系数椭圆型边值问题的双尺度分析  

Two-scale analysis for elliptic boundary value problem of quasi-periodic coefficients

作　　者：张晓超[1] 冯永平[1] 郑飞艳[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2009年第6期20-23,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10801042)

摘　　要：对一类拟周期系数椭圆型边值问题给出了双尺度分析,得到对应的均匀化方程、双尺度渐近展开式及渐近误差估计.对此类问题的计算给出了一个有效的数值计算方法,降低了计算难度,提高了误差精度,使数值解更逼近于弱解.The two-scale formal asymptotic solution of the elliptic boundary value problem in quasi-periodic domain is given. The homogenization constants and error estimation are presented. One new effective numerical method is presented for elliptic problem in the quasi-periodic domain. It reduces the difficulty of calculation and improves error accuracy, in order to make numerical value solution approach weak solution more.

关 键 词：拟周期 均匀化 双尺度 

分 类 号：O175.25[理学—数学]